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math.AG2009
Some Koszul Rings from Geometry
Krishna Hanumanthu
We give examples of Koszul rings that arise naturally in algebraic geometry. In the first part, we prove a general result on Koszul property associated to an ample line bundle on a…
math.AG2008
Toroidalization of Locally Toroidal Morphisms from N-folds to Surfaces
Krishna Hanumanthu
The toroidalization conjecture of D. Abramovich, K. Karu, K. Matsuki, and J. Wlodarczyk asks whether any given morphism of nonsingular varieties over an algebraically closed field…